the product of two consecutive numbers is 210 . can you tell the number
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let the consecutive number be X and X + 1
X×(X+1)=210
square of x + x-210=0
square of x+15x-14x-210=0
x(x+15)-14(x+15)=0
(x-14)(x+15)=0
x=14 or x=-15
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Answer:
The numbers are 14 and 15
Step-by-step explanation:
Let one number be x .
Then other number is x + 1.
x ( x + 1 ) = 210
x² + x = 210
x² + x - 210 = 0
x² + 15x - 14x - 210 = 0
x ( x + 15 ) - 14 ( x + 15 ) = 0
(x + 15) ( x - 14) = 0
x = -15 , x = 14
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